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Monomial Ideals

  • Jürgen Herzog
  • Takayuki Hibi

Abstract

Chapter 1 summarizes fundamental material on monomial ideals. In particular, we consider the integral closure of monomial ideals, squarefree normally torsionfree ideals, squarefree monomial ideals and simplicial complexes, Alexander duality and polarization of monomial ideals.

Keywords

Prime Ideal Simplicial Complex Polynomial Ring Monomial Ideal Integral Closure 
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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Fachbereich MathematikUniversität Duisburg-EssenEssenGermany
  2. 2.Department of Pure and Applied Mathematics, Graduate School of Information Science and TechnologyOsaka UniversityToyonakaJapan

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